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Finding the Fourth Proportional to 8,640.86, 11,926.16 and 5,619.76

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Solution

The fourth proportional to 8,640.86, 11,926.16 and 5,619.76 is: 7,756.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,640.86 : 11,926.16 = 5,619.76 : x
  2. Step 2: Convert to fraction form
    8,640.86/11,926.16 = 5,619.76/x
  3. Step 3: Cross multiply
    8,640.86x = 11,926.16 × 5,619.76
  4. Step 4: Simplify right side
    8,640.86x = 67,022,156.92
  5. Step 5: Solve for x
    x = 67,022,156.92/8,640.86
  6. Step 6: Final answer
    x = 7,756.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.